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Finding the Fourth Proportional to 3,219.50, 4,827.09 and 1,487.18

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Solution

The fourth proportional to 3,219.50, 4,827.09 and 1,487.18 is: 2,229.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,219.50 : 4,827.09 = 1,487.18 : x
  2. Step 2: Convert to fraction form
    3,219.50/4,827.09 = 1,487.18/x
  3. Step 3: Cross multiply
    3,219.50x = 4,827.09 × 1,487.18
  4. Step 4: Simplify right side
    3,219.50x = 7,178,751.71
  5. Step 5: Solve for x
    x = 7,178,751.71/3,219.50
  6. Step 6: Final answer
    x = 2,229.77

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.